9722946672 has 160 divisors (see below), whose sum is σ = 28558172160. Its totient is φ = 3166076160.

The previous prime is 9722946661. The next prime is 9722946679. The reversal of 9722946672 is 2766492279.

9722946672 is a `hidden beast` number, since 97 + 2 + 29 + 466 + 72 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9722946679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6204033 + ... + 6205599.

It is an arithmetic number, because the mean of its divisors is an integer number (178488576).

Almost surely, 2^9722946672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9722946672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14279086080).

9722946672 is an abundant number, since it is smaller than the sum of its proper divisors (18835225488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9722946672 is a wasteful number, since it uses less digits than its factorization.

9722946672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1896 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 9722946672 is about 98605.0032807666. The cubic root of 9722946672 is about 2134.3516192982.

The spelling of 9722946672 in words is "nine billion, seven hundred twenty-two million, nine hundred forty-six thousand, six hundred seventy-two".